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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 8: Chứng minh rằng 364^364 -364^363 chia hết cho 363

Toán Lớp 8: Chứng minh rằng
364^364 -364^363 chia hết cho 363

Comments ( 2 )

  1. Gửi bạn:
    $364^{364}-364^{363}$
    $=364.364^{363}-364^{363}$
    $=364^{363}.(364-1)$
    $=364^{363}.363$
    Vì $363\vdots 363$
    $⇒364^{363}.363\vdots 363$
    $⇒ĐPCM$
     

  2. 364^{364}-364^{363}
    =364^{363}.364-364^{363}.1
    =364^{363}.(364-1)
    =364^{363}.363\vdots 363
    => 364^{364}-364^{363}\vdots 363
     

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222-9+11+12:2*14+14 = ? ( )